Search a number
-
+
204720780 = 223511313991
BaseRepresentation
bin11000011001111…
…00101010001100
3112021012220010010
430030330222030
5404402031110
632151513220
75034045405
oct1414745214
9467186103
10204720780
11a5617830
1258688810
133354ac74
141d2909ac
1512e8d020
hexc33ca8c

204720780 has 96 divisors (see below), whose sum is σ = 627959808. Its totient is φ = 49420800.

The previous prime is 204720751. The next prime is 204720781. The reversal of 204720780 is 87027402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (204720781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206085 + ... + 207075.

It is an arithmetic number, because the mean of its divisors is an integer number (6541248).

Almost surely, 2204720780 is an apocalyptic number.

204720780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204720780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313979904).

204720780 is an abundant number, since it is smaller than the sum of its proper divisors (423239028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204720780 is a wasteful number, since it uses less digits than its factorization.

204720780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 204720780 is about 14308.0669553927. The cubic root of 204720780 is about 589.3690276434.

The spelling of 204720780 in words is "two hundred four million, seven hundred twenty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 313 330 626 660 939 991 1252 1565 1878 1982 2973 3130 3443 3756 3964 4695 4955 5946 6260 6886 9390 9910 10329 10901 11892 13772 14865 17215 18780 19820 20658 21802 29730 32703 34430 41316 43604 51645 54505 59460 65406 68860 103290 109010 130812 163515 206580 218020 310183 327030 620366 654060 930549 1240732 1550915 1861098 3101830 3412013 3722196 4652745 6203660 6824026 9305490 10236039 13648052 17060065 18610980 20472078 34120130 40944156 51180195 68240260 102360390 204720780